Exploring Reciprocals in Fraction Division

The video tutorial by Professor Von Schmohawk explains how to divide fractions by converting the division operation into multiplication using reciprocals. It begins with an introduction to division operations and the concept of reciprocals, followed by examples demonstrating the process. The tutorial also covers finding reciprocals of common fractions and provides a general proof that division by a fraction is equivalent to multiplication by its reciprocal. The session concludes with a preview of the next lecture on adding and subtracting fractions with different denominators.

What is the result called in a division operation?

• Dividend

• Divisor

• Fraction

• Quotient

Tags

CCSS.3.OA.A.2

Which of the following is NOT a way to write a division operation?

• Long division

• Using a multiplication sign

• Writing as a fraction

• Using a division sign

Tags

CCSS.3.OA.A.2

What is the reciprocal of 4?

• 1/4

• 0

• 4

• 1

Which number does not have a reciprocal?

• 3

• 0

• 2

• 1

What is the reciprocal of 3/5?

• 1/3

• 3/5

• 1/5

• 5/3

How do you divide 6 by 1/3?

• Divide 6 by 1

• Divide 6 by 3

• Multiply 6 by 1/3

• Multiply 6 by 3

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

What is the result of dividing 1/3 by 3?

• 1

• 1/3

• 3

• 1/9

Tags

CCSS.5.NF.B.7A

CCSS.5.NF.B.7C

What is the reciprocal of a fraction n/m?

• 1/m

• 1/n

• n/m

• m/n

What is the result of dividing 2/3 by 5/7?

• 14/15

• 5/7

• 10/21

• 2/3

Tags

CCSS.6.NS.A.1

What is the next topic to be covered after division of fractions?

• Finding common denominators

• Addition and subtraction of fractions with different denominators

• Multiplication of fractions

• Simplifying fractions

Tags

CCSS.5.NF.B.6